%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU500^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:57 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU500^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n014.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:39:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.emptyset $$unsorted) % 0.30/0.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 0.30/0.55 (declare-const tptp.dsetconstrER Bool) % 0.30/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1))))) % 0.30/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 0.30/0.55 (define @t3 () (_ @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "Xy" $$unsorted)) % 0.30/0.55 (define @t5 () (_ @t2 @t4)) % 0.30/0.55 (define @t6 () (@list @t4)) % 0.30/0.55 (define @t7 () (lambda @t6 @t5)) % 0.30/0.55 (define @t8 () (@var "A" $$unsorted)) % 0.30/0.55 (define @t9 () (_ tptp.dsetconstr @t8)) % 0.30/0.55 (define @t10 () (_ @t9 @t7)) % 0.30/0.55 (define @t11 () (_ tptp.in @t1)) % 0.30/0.55 (define @t12 () (_ @t11 @t10)) % 0.30/0.55 (define @t13 () (@list @t8 @t2 @t1)) % 0.30/0.55 (define @t14 () (forall @t13 (=> @t12 @t3))) % 0.30/0.55 (define @t15 () (= tptp.dsetconstrER @t14)) % 0.30/0.55 (define @t16 () (@var "Xphi" Bool)) % 0.30/0.55 (define @t17 () (=> (_ @t11 (_ tptp.prop2set @t16)) @t16)) % 0.30/0.55 (define @t18 () (@list @t16 @t1)) % 0.30/0.55 (define @t19 () (forall @t18 @t17)) % 0.30/0.55 (define @t20 () (=> tptp.dsetconstrER @t19)) % 0.30/0.55 (define @t21 () (not @t20)) % 0.30/0.55 (define @t22 () (@list @t1)) % 0.30/0.55 (define @t23 () (lambda @t22 @t16)) % 0.30/0.55 (define @t24 () (_ tptp.powerset tptp.emptyset)) % 0.30/0.55 (define @t25 () (_ tptp.dsetconstr @t24)) % 0.30/0.55 (define @t26 () (_ @t25 @t23)) % 0.30/0.55 (define @t27 () (@list @t16)) % 0.30/0.55 (define @t28 () (lambda @t27 @t26)) % 0.30/0.55 (define @t29 () (@var "BOUND_VARIABLE_7571" $$unsorted)) % 0.30/0.55 (define @t30 () (lambda (@list @t29) false)) % 0.30/0.55 (define @t31 () (tptp.powerset tptp.emptyset)) % 0.30/0.55 (define @t32 () (tptp.dsetconstr @t31 @t30)) % 0.30/0.55 (define @t33 () (forall @t22 (not (tptp.in @t1 @t32)))) % 0.30/0.55 (define @t34 () (_ @t2 @t1)) % 0.30/0.55 (define @t35 () (_ @t2 @t4)) % 0.30/0.55 (define @t36 () (lambda @t6 @t35)) % 0.30/0.55 (define @t37 () (tptp.dsetconstr @t8 @t36)) % 0.30/0.55 (define @t38 () (tptp.in @t1 @t37)) % 0.30/0.55 (define @t39 () (not @t38)) % 0.30/0.55 (define @t40 () (or @t39 @t34)) % 0.30/0.55 (define @t41 () (not @t12)) % 0.30/0.55 (define @t42 () (or @t41 @t3)) % 0.30/0.55 (define @t43 () (=> tptp.dsetconstrER @t33)) % 0.30/0.55 (define @t44 () (@var "BOUND_VARIABLE_7483" $$unsorted)) % 0.30/0.55 (define @t45 () (@list @t44)) % 0.30/0.55 (define @t46 () (lambda @t45 false)) % 0.30/0.55 (define @t47 () (@list @t44)) % 0.30/0.55 (define @t48 () (tptp.dsetconstr @t31 @t46)) % 0.30/0.55 (define @t49 () (tptp.in @t1 @t48)) % 0.30/0.55 (define @t50 () (not @t49)) % 0.30/0.55 (define @t51 () (or @t50 false)) % 0.30/0.55 (define @t52 () (lambda @t45 @t16)) % 0.30/0.55 (define @t53 () (tptp.dsetconstr @t31 @t52)) % 0.30/0.55 (define @t54 () (tptp.in @t1 @t53)) % 0.30/0.55 (define @t55 () (not @t54)) % 0.30/0.55 (define @t56 () (or @t16 @t55 @t16)) % 0.30/0.55 (define @t57 () (or @t55 @t16)) % 0.30/0.55 (define @t58 () (forall @t27 @t57)) % 0.30/0.55 (define @t59 () (forall @t22 @t58)) % 0.30/0.55 (define @t60 () (forall (@list @t1 @t16) @t57)) % 0.30/0.55 (define @t61 () (_ @t25 @t52)) % 0.30/0.55 (define @t62 () (_ @t11 @t61)) % 0.30/0.55 (define @t63 () (not @t62)) % 0.30/0.55 (define @t64 () (or @t63 @t16)) % 0.30/0.55 (define @t65 () (=> (_ @t11 @t26) @t16)) % 0.30/0.55 (define @t66 () (_ @t28 @t16)) % 0.30/0.55 (define @t67 () (=> (_ @t11 @t66) @t16)) % 0.30/0.55 (define @t68 () (forall @t18 @t67)) % 0.30/0.55 (define @t69 () (=> tptp.dsetconstrER @t68)) % 0.30/0.55 (define @t70 () (@purify @t30)) % 0.30/0.55 (define @t71 () (@quantifiers_skolemize @t33 0)) % 0.30/0.55 (define @t72 () (tptp.in @t71 (tptp.dsetconstr @t31 @t70))) % 0.30/0.55 (define @t73 () (not @t33)) % 0.30/0.55 (define @t74 () (tptp.in @t71 @t32)) % 0.30/0.55 (define @t75 () (not (not @t74))) % 0.30/0.55 (define @t76 () (not @t72)) % 0.30/0.55 (define @t77 () (_ @t30 @t71)) % 0.30/0.55 (define @t78 () (_ @t70 @t71)) % 0.30/0.55 (define @t79 () (or @t76 @t78)) % 0.30/0.55 (define @t80 () (forall @t13 (or (not (tptp.in @t1 (tptp.dsetconstr @t8 @t2))) @t34))) % 0.30/0.55 (assume @p1 @t15) % 0.30/0.55 (assume @p2 @t21) % 0.30/0.55 (assume @p3 true) % 0.30/0.55 (step @p4 (= tptp.prop2set @t28) :rule refl :args (@t28)) % 0.30/0.55 (step @p5 :rule refl :args (@t33)) % 0.30/0.55 (step @p6 :rule refl :args (@t34)) % 0.30/0.55 (step @p7 :rule lambda-elim :args ((= @t36 @t2))) % 0.30/0.55 (step @p8 :rule refl :args (@t8)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args (@t37)) % 0.30/0.55 (step @p10 :rule refl :args (@t1)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args (@t38)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11) :args (@t39)) % 0.30/0.55 (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t40)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args ((forall @t13 @t40))) % 0.30/0.55 (step @p15 :rule refl :args (@t34)) % 0.30/0.55 (step @p16 :rule refl :args (@t3)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t3 @t34))) % 0.30/0.55 (step @p18 :rule symm :premises (@p17)) % 0.30/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.30/0.55 (step @p20 :rule refl :args ((tptp.in @t1 @t10))) % 0.30/0.55 (step @p21 :rule refl :args ((tptp.dsetconstr @t8 @t7))) % 0.30/0.55 (step @p22 :rule refl :args (@t35)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22) :args (@t36)) % 0.30/0.55 (step @p24 :rule refl :args (@t8)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args (@t37)) % 0.30/0.55 (step @p26 :rule trans :premises (@p25 @p21)) % 0.30/0.55 (step @p27 :rule refl :args (@t1)) % 0.30/0.55 (step @p28 :rule cong :premises (@p27 @p26) :args (@t38)) % 0.30/0.55 (step @p29 :rule trans :premises (@p28 @p20)) % 0.30/0.55 (step @p30 :rule refl :args (@t11)) % 0.30/0.55 (step @p31 :rule ho_cong :premises (@p30 @p26)) % 0.30/0.55 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t11 @t37) @t38))) % 0.30/0.55 (step @p33 :rule symm :premises (@p32)) % 0.30/0.55 (step @p34 :rule refl :args (@t12)) % 0.30/0.55 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.30/0.55 (step @p36 :rule refl :args (@t9)) % 0.30/0.55 (step @p37 :rule ho_cong :premises (@p36 @p23)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p26) :args ((= (_ @t9 @t36) @t37))) % 0.30/0.55 (step @p39 :rule symm :premises (@p38)) % 0.30/0.55 (step @p40 :rule refl :args (@t10)) % 0.30/0.55 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.30/0.55 (step @p42 :rule refl :args (@t5)) % 0.30/0.55 (step @p43 :rule cong :premises (@p42 @p22) :args ((= @t5 @t35))) % 0.30/0.55 (step @p44 :rule symm :premises (@p43)) % 0.30/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.30/0.55 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.30/0.55 (step @p47 :rule ho_cong :premises (@p36 @p46)) % 0.30/0.55 (step @p48 :rule trans :premises (@p47 @p41)) % 0.30/0.55 (step @p49 :rule ho_cong :premises (@p30 @p48)) % 0.30/0.55 (step @p50 :rule trans :premises (@p49 @p35)) % 0.30/0.55 (step @p51 :rule cong :premises (@p50) :args (@t41)) % 0.30/0.55 (step @p52 :rule nary_cong :premises (@p51 @p19) :args (@t42)) % 0.30/0.55 (step @p53 :rule cong :premises (@p52) :args ((forall @t13 @t42))) % 0.30/0.55 (step @p54 :rule trans :premises (@p53 @p14)) % 0.30/0.55 (step @p55 :rule bool-impl-elim :args (@t12 @t3)) % 0.30/0.55 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.30/0.55 (step @p57 :rule trans :premises (@p56 @p54)) % 0.30/0.55 (step @p58 :rule refl :args (tptp.dsetconstrER)) % 0.30/0.55 (step @p59 :rule cong :premises (@p58 @p57) :args (@t15)) % 0.30/0.55 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.30/0.55 (step @p61 :rule cong :premises (@p60 @p5) :args (@t43)) % 0.30/0.55 (step @p62 :rule cong :premises (@p61) :args ((not @t43))) % 0.30/0.55 (step @p63 :rule refl :args (@t30)) % 0.30/0.55 (step @p64 :rule symm :premises (@p63)) % 0.30/0.55 (step @p65 :rule alpha_equiv :args (@t46 @t47 (@list @t29))) % 0.30/0.55 (step @p66 :rule trans :premises (@p65 @p64)) % 0.30/0.55 (step @p67 :rule refl :args (@t31)) % 0.30/0.55 (step @p68 :rule cong :premises (@p67 @p66) :args (@t48)) % 0.30/0.55 (step @p69 :rule cong :premises (@p10 @p68) :args (@t49)) % 0.30/0.55 (step @p70 :rule cong :premises (@p69) :args (@t50)) % 0.30/0.55 (step @p71 :rule aci_norm :args ((= @t51 @t50))) % 0.30/0.55 (step @p72 :rule trans :premises (@p71 @p70)) % 0.30/0.55 (step @p73 :rule cong :premises (@p72) :args ((forall @t22 @t51))) % 0.30/0.55 (step @p74 :rule quant-var-elim-eq :args ((= (forall @t27 (or (not (= @t16 false)) @t55 @t16)) @t51))) % 0.30/0.55 (step @p75 :rule refl :args (@t16)) % 0.30/0.55 (step @p76 :rule refl :args (@t55)) % 0.30/0.55 (step @p77 :rule bool-eq-false :args (@t16)) % 0.30/0.55 (step @p78 :rule symm :premises (@p77)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78) :args ((not (not @t16)))) % 0.30/0.55 (step @p80 :rule bool-double-not-elim :args (@t16)) % 0.30/0.55 (step @p81 :rule symm :premises (@p80)) % 0.30/0.55 (step @p82 :rule trans :premises (@p81 @p79)) % 0.30/0.55 (step @p83 :rule nary_cong :premises (@p82 @p76 @p75) :args (@t56)) % 0.30/0.55 (step @p84 :rule aci_norm :args ((= @t57 @t56))) % 0.30/0.55 (step @p85 :rule trans :premises (@p84 @p83)) % 0.30/0.55 (step @p86 :rule cong :premises (@p85) :args (@t58)) % 0.30/0.55 (step @p87 :rule trans :premises (@p86 @p74)) % 0.30/0.55 (step @p88 :rule cong :premises (@p87) :args (@t59)) % 0.30/0.55 (step @p89 :rule quant-merge-prenex :args ((= @t59 @t60))) % 0.30/0.55 (step @p90 :rule symm :premises (@p89)) % 0.30/0.55 (step @p91 :rule quant_var_reordering :args ((= (forall @t18 @t57) @t60))) % 0.30/0.55 (step @p92 :rule trans :premises (@p91 @p90 @p88)) % 0.30/0.55 (step @p93 :rule trans :premises (@p92 @p73)) % 0.30/0.55 (step @p94 :rule refl :args ((tptp.in @t1 @t61))) % 0.30/0.55 (step @p95 :rule refl :args ((tptp.dsetconstr @t24 @t52))) % 0.30/0.55 (step @p96 :rule refl :args (@t52)) % 0.30/0.55 (step @p97 :rule refl :args (@t31)) % 0.30/0.55 (step @p98 :rule cong :premises (@p97 @p96) :args (@t53)) % 0.30/0.55 (step @p99 :rule trans :premises (@p98 @p95)) % 0.30/0.55 (step @p100 :rule cong :premises (@p27 @p99) :args (@t54)) % 0.30/0.55 (step @p101 :rule trans :premises (@p100 @p94)) % 0.30/0.55 (step @p102 :rule ho_cong :premises (@p30 @p99)) % 0.30/0.55 (step @p103 :rule cong :premises (@p102 @p101) :args ((= (_ @t11 @t53) @t54))) % 0.30/0.55 (step @p104 :rule symm :premises (@p103)) % 0.30/0.55 (step @p105 :rule refl :args (@t62)) % 0.30/0.55 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.30/0.55 (step @p107 :rule refl :args (tptp.dsetconstr)) % 0.30/0.55 (step @p108 :rule ho_cong :premises (@p107 @p97)) % 0.30/0.55 (step @p109 :rule ho_cong :premises (@p108 @p96)) % 0.30/0.55 (step @p110 :rule cong :premises (@p109 @p99) :args ((= (_ (_ tptp.dsetconstr @t31) @t52) @t53))) % 0.30/0.55 (step @p111 :rule symm :premises (@p110)) % 0.30/0.55 (step @p112 :rule refl :args (@t61)) % 0.30/0.55 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.30/0.55 (step @p114 :rule refl :args (@t24)) % 0.30/0.55 (step @p115 :rule cong :premises (@p114 @p97) :args ((= @t24 @t31))) % 0.30/0.55 (step @p116 :rule symm :premises (@p115)) % 0.30/0.55 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.30/0.55 (step @p118 :rule ho_cong :premises (@p107 @p117)) % 0.30/0.55 (step @p119 :rule ho_cong :premises (@p118 @p96)) % 0.30/0.55 (step @p120 :rule trans :premises (@p119 @p113)) % 0.30/0.55 (step @p121 :rule ho_cong :premises (@p30 @p120)) % 0.30/0.55 (step @p122 :rule trans :premises (@p121 @p106)) % 0.30/0.55 (step @p123 :rule cong :premises (@p122) :args (@t63)) % 0.30/0.55 (step @p124 :rule nary_cong :premises (@p123 @p75) :args (@t64)) % 0.30/0.55 (step @p125 :rule cong :premises (@p124) :args ((forall @t18 @t64))) % 0.30/0.55 (step @p126 :rule trans :premises (@p125 @p93)) % 0.30/0.55 (step @p127 :rule bool-impl-elim :args (@t62 @t16)) % 0.30/0.55 (step @p128 :rule cong :premises (@p127) :args ((forall @t18 (=> @t62 @t16)))) % 0.30/0.55 (step @p129 :rule trans :premises (@p128 @p126)) % 0.30/0.55 (step @p130 :rule alpha_equiv :args (@t23 (@list @t1) @t47)) % 0.30/0.55 (step @p131 :rule refl :args (@t25)) % 0.30/0.55 (step @p132 :rule ho_cong :premises (@p131 @p130)) % 0.30/0.55 (step @p133 :rule ho_cong :premises (@p30 @p132)) % 0.30/0.55 (step @p134 :rule cong :premises (@p133 @p75) :args (@t65)) % 0.30/0.55 (step @p135 :rule cong :premises (@p134) :args ((forall @t18 @t65))) % 0.30/0.55 (step @p136 :rule trans :premises (@p135 @p129)) % 0.30/0.55 (step @p137 :rule refl :args (@t16)) % 0.30/0.55 (step @p138 :rule beta-reduce :args ((= @t66 @t26))) % 0.30/0.55 (step @p139 :rule refl :args (@t11)) % 0.30/0.55 (step @p140 :rule ho_cong :premises (@p139 @p138)) % 0.30/0.55 (step @p141 :rule cong :premises (@p140 @p137) :args (@t67)) % 0.30/0.55 (step @p142 :rule cong :premises (@p141) :args (@t68)) % 0.30/0.55 (step @p143 :rule trans :premises (@p142 @p136)) % 0.30/0.55 (step @p144 :rule cong :premises (@p58 @p143) :args (@t69)) % 0.30/0.55 (step @p145 :rule cong :premises (@p144) :args ((not @t69))) % 0.30/0.55 (step @p146 :rule ho_cong :premises (@p4 @p137)) % 0.30/0.55 (step @p147 :rule ho_cong :premises (@p139 @p146)) % 0.30/0.55 (step @p148 :rule cong :premises (@p147 @p137) :args (@t17)) % 0.30/0.55 (step @p149 :rule cong :premises (@p148) :args (@t19)) % 0.30/0.55 (step @p150 :rule cong :premises (@p58 @p149) :args (@t20)) % 0.30/0.55 (step @p151 :rule cong :premises (@p150) :args (@t21)) % 0.30/0.55 (step @p152 :rule trans :premises (@p151 @p145)) % 0.30/0.55 (step @p153 :rule trans :premises (@p152 @p62)) % 0.30/0.55 (step @p154 :rule eq_resolve :premises (@p2 @p153)) % 0.30/0.55 (step @p155 :rule not_implies_elim1 :premises (@p154)) % 0.30/0.55 (step @p156 :rule not_implies_elim2 :premises (@p154)) % 0.30/0.55 (step @p157 :rule refl :args (@t72)) % 0.30/0.55 (step @p158 :rule bool-double-not-elim :args (@t33)) % 0.30/0.55 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t73) @t72))) % 0.30/0.55 (step @p160 :rule eq-refl :args (@t30)) % 0.30/0.55 (step @p161 :rule refl :args (@t30)) % 0.30/0.55 (step @p162 :rule cong :premises (@p161 @p64) :args ((= @t30 @t30))) % 0.30/0.55 (step @p163 :rule trans :premises (@p162 @p160)) % 0.30/0.55 (step @p164 :rule skolem_intro :args (@t70)) % 0.30/0.55 (step @p165 :rule cong :premises (@p161 @p164) :args ((= @t30 @t70))) % 0.30/0.55 (step @p166 :rule trans :premises (@p165 @p163)) % 0.30/0.55 (step @p167 :rule true_elim :premises (@p166)) % 0.30/0.55 (step @p168 :rule cong :premises (@p67 @p167) :args (@t32)) % 0.30/0.55 (step @p169 :rule refl :args (@t71)) % 0.30/0.55 (step @p170 :rule cong :premises (@p169 @p168) :args (@t74)) % 0.30/0.55 (step @p171 :rule refl :args (@t73)) % 0.30/0.55 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t73 @t74))) % 0.30/0.55 (step @p173 :rule bool-double-not-elim :args (@t74)) % 0.30/0.55 (step @p174 :rule cong :premises (@p171 @p173) :args ((=> @t73 @t75))) % 0.30/0.55 (step @p175 :rule trans :premises (@p174 @p172)) % 0.30/0.55 (assume-push @p206 @t73) % 0.30/0.55 (step @p177 :rule skolemize :premises (@p156)) % 0.30/0.55 (step-pop @p207 :rule scope :premises (@p177)) % 0.30/0.55 (step @p178 :rule process_scope :premises (@p207) :args (@t75)) % 0.30/0.55 (step @p180 :rule eq_resolve :premises (@p178 @p175)) % 0.30/0.55 (step @p181 :rule implies_elim :premises (@p180)) % 0.30/0.55 (step @p182 :rule eq_resolve :premises (@p181 @p159)) % 0.30/0.55 (step @p183 :rule chain_m_resolution :premises (@p182 @p156) :args (@t72 (@list true) (@list @t33))) % 0.30/0.55 (step @p184 :rule aci_norm :args ((= (or @t76 false) @t76))) % 0.30/0.55 (step @p185 :rule evaluate :args ((not false))) % 0.30/0.55 (step @p186 :rule beta-reduce :args ((= @t77 false))) % 0.30/0.55 (step @p187 :rule cong :premises (@p186) :args ((not @t77))) % 0.30/0.55 (step @p188 :rule trans :premises (@p187 @p185)) % 0.30/0.55 (step @p189 :rule ho_cong :premises (@p164 @p169)) % 0.30/0.55 (step @p190 :rule cong :premises (@p189) :args ((not @t78))) % 0.30/0.55 (step @p191 :rule bool-eq-false :args (@t78)) % 0.30/0.55 (step @p192 :rule trans :premises (@p191 @p190 @p188)) % 0.30/0.55 (step @p193 :rule true_elim :premises (@p192)) % 0.30/0.55 (step @p194 :rule refl :args (@t76)) % 0.30/0.55 (step @p195 :rule nary_cong :premises (@p194 @p193) :args (@t79)) % 0.30/0.55 (step @p196 :rule trans :premises (@p195 @p184)) % 0.30/0.55 (step @p197 :rule refl :args (@t80)) % 0.30/0.55 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t80 @t79))) % 0.30/0.55 (assume-push @p208 @t80) % 0.30/0.55 (step @p200 :rule instantiate :premises (@p155) :args ((@list @t31 @t70 @t71))) % 0.30/0.55 (step-pop @p209 :rule scope :premises (@p200)) % 0.30/0.55 (step @p201 :rule process_scope :premises (@p209) :args (@t79)) % 0.30/0.55 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 0.30/0.55 (step @p204 :rule implies_elim :premises (@p203)) % 0.30/0.55 (step @p205 false :rule chain_m_resolution :premises (@p204 @p183 @p155) :args (false (@list false false) (@list @t72 @t80))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.38/0.55 % cvc5 exiting %------------------------------------------------------------------------------